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Sure, why not? Just make sure you don't damage your choice of courses for each semester because ACCT1511 is a prereq to some second year courses

Re: MATH2601 Linear Algebra/Group Theory Questions \\\text{Let }T:V\to V\text{ be linear, }\\W_1\text{ a subspace of }V\\ W_2\text{ a subspace of }W_1 \text{Suppose }W_1\text{ is invariant under }T.\\ \text{Must }W_2\text{ be invariant under }T\text{ and why/why not?}

You can't square root a negative If x<-1 then you square root a negative. So the endpoint is at x=-1 Also, the domain should be x≥-1 and range y≥-4, i.e. the inequalities should not be strict

You get that after a sufficient amount of posts.

Fairly sure they use the parentheses in VCE.

If you can't tell by inspection, better sketch it

\text{Look carefully. It's }\frac{2}{(x+2)^\textbf{2}}+2\\ \text{You've stated the range of }\frac{2}{x+2}+2\text{ without the power of 2. This is not a hyperbola.}

Re: Several Variable Calculus Oh. In general, how do we determine which normal vector has the correct orientation?

Re: Several Variable Calculus \int_S \textbf{F}\cdot d\textbf{S}\text{ if }\textbf{F} = \sinh x \textbf{i} + \cosh y \textbf{k}\text{ and if }\\ S\text{ is given by }z=x+y^2\text{ for }0\le y\le x,\, 0\le x \le 1 I was able to do this question correctly using the typical approach and the...

Re: Several Variable Calculus \text{For the function }\textbf{f}:\mathbb{R}^2\to \mathbb{R}^2, \, \textbf{f}(x,y) = (e^x\cos y,e^x\sin y) \text{I can understand why }(0,0)\notin \textbf{f}(\mathbb{R}^2)\\ \text{but how would you intuitively realise that it's the only point not in the image...

Re: Several Variable Calculus Ah true, that's unfortunate. Forgot that pho follows a different rule for different values of phi. Would I be forced to splitting the integral up into three separate integrals then?

Re: Several Variable Calculus I'm going from cylindrical to spherical in this made-up question. \text{The volume of region bound by the cylinder }x^2+y^2=1\text{ and the planes }\\z=\pm 1\text{ is (hopefully)}\\ \int_0^{2\pi}\int_{-1}^1\int_0^1dr\,dz\,d\theta \text{If I try with spherical...

Re: Discrete Maths Sem 2 2016 You forgot to consider the possibility that the word may have zero L's as well for your n.

Re: Discrete Maths Sem 2 2016 P(8,3) = 336; you put C(8,3) into your calculator. If you wanted to use C(8,3), then you'd only choose the letters themselves, and still have to arrange them later. So if your answer was correct, it should've been C(8,3) * 3! However, the question is not that...

Re: MATH2601 Linear Algebra/Group Theory Questions The intuition of the question was this A=\begin{bmatrix}3&1\\-2&0\end{bmatrix}\\ \text{Find all diagonalisable matrices }B\text{ such that }B^2=A I then realised that B may share the same eigenvectors as A, and have eigenvalues equal to the...

Re: MATH2601 Linear Algebra/Group Theory Questions I was wondering if given the trace and the determinant of a matrix could you write down a unique matrix satisfying these conditions, or a simple formula for the family of matrices satisfying it? Mostly asking for the 2x2 case

Re: UNSW chit chat thread 2017 Exercise is good for you.

Re: Several Variable Calculus \text{Find }\int_S \textbf{F}\cdot d\textbf{S}\text{ if }\textbf{F}(\textbf{x})=\phi (||\textbf{x}||)\textbf{x}\text{ is a radial vector field}\\ \text{and }S\text{ is the hemisphere }x^2+y^2+z^2=a^2\text{ with }z\ge 0\\ \text{Hint: use a geometric argument to...

\begin{align*}\frac{1+\cot x}{1+\tan x}&=\frac{\tan x +1}{\tan x + \tan^2 x}\\ &= \frac{1}{\tan x}\times \frac{\tan x + 1}{\tan x + 1}\\ &= \cot x\end{align*} First step: Multiply top and bottom by tan(x) _____________ \begin{align*}\frac{\cos \alpha}{1+\sin...

Re: Several Variable Calculus Yep makes perfect sense, thanks as always :) Out of curiosity, in general does setting x and y to be the parameters make things easier? Or are there scenarios where you'd pick a different choice of parameters.